7(3n-4)=(7n+7)+5

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Solution for 7(3n-4)=(7n+7)+5 equation:


Simplifying
7(3n + -4) = (7n + 7) + 5

Reorder the terms:
7(-4 + 3n) = (7n + 7) + 5
(-4 * 7 + 3n * 7) = (7n + 7) + 5
(-28 + 21n) = (7n + 7) + 5

Reorder the terms:
-28 + 21n = (7 + 7n) + 5

Remove parenthesis around (7 + 7n)
-28 + 21n = 7 + 7n + 5

Reorder the terms:
-28 + 21n = 7 + 5 + 7n

Combine like terms: 7 + 5 = 12
-28 + 21n = 12 + 7n

Solving
-28 + 21n = 12 + 7n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7n' to each side of the equation.
-28 + 21n + -7n = 12 + 7n + -7n

Combine like terms: 21n + -7n = 14n
-28 + 14n = 12 + 7n + -7n

Combine like terms: 7n + -7n = 0
-28 + 14n = 12 + 0
-28 + 14n = 12

Add '28' to each side of the equation.
-28 + 28 + 14n = 12 + 28

Combine like terms: -28 + 28 = 0
0 + 14n = 12 + 28
14n = 12 + 28

Combine like terms: 12 + 28 = 40
14n = 40

Divide each side by '14'.
n = 2.857142857

Simplifying
n = 2.857142857

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